Home / 1,497.09-2,066.32-972.21

Finding the Fourth Proportional to 1,497.09, 2,066.32 and 972.21

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Solution

The fourth proportional to 1,497.09, 2,066.32 and 972.21 is: 1,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.09 : 2,066.32 = 972.21 : x
  2. Step 2: Convert to fraction form
    1,497.09/2,066.32 = 972.21/x
  3. Step 3: Cross multiply
    1,497.09x = 2,066.32 × 972.21
  4. Step 4: Simplify right side
    1,497.09x = 2,008,896.97
  5. Step 5: Solve for x
    x = 2,008,896.97/1,497.09
  6. Step 6: Final answer
    x = 1,341.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.